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Finding the Third Proportional to 575,756,813 and 1,253,742,106

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Solution

The third proportional to 575,756,813 and 1,253,742,106 is: 2,730,092,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,756,813 : 1,253,742,106 = 1,253,742,106 : x
  2. Step 2: Convert to fraction form
    575,756,813/1,253,742,106 = 1,253,742,106/x
  3. Step 3: Cross multiply
    575,756,813x = 1,253,742,106 × 1,253,742,106
  4. Step 4: Simplify right side
    575,756,813x = 1,571,869,268,357,315,328
  5. Step 5: Solve for x
    x = 1,571,869,268,357,315,328/575,756,813
  6. Step 6: Final answer
    x = 2,730,092,346.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.